Name
Date Pd
Uniformly Accelerated Particle Model Worksheet 5:
Quantitative Acceleration Problems
1. A poorly tuned car accelerates from rest to a speed of 28 m/s in 20 s.
a. Make a well-labeled diagram of the situation.
b. Make a well-labeled graphical representation of the situation.
c. List given quantities and quantities to find as you determine:
i. What is the average acceleration of the car?
ii. How far does it travel in this time?
velocity (m/s)
time (s)
2. At t = 0 s a car has a speed of 30 m/s. After 6 s, its speed is 15 m/s.
a. Make a well-labeled diagram of the situation.
b. Make a well-labeled graphical representation of the situation.
c. List given quantities and quantities to find as you determine:
i. What is the average acceleration of the car?
ii. How far does it travel in this time?
velocity (m/s)
time (s)
©Modeling Instruction - AMTA 2013 1 U3 Uniform Acceleration - ws 5v3.0
3. A student drops a rock from the top of a 30 meter tall building.
a. Make a well-labeled diagram of the situation.
b. Make a well-labeled graphical representation of the situation.
c. List given quantities and quantities to find as you determine how fast the rock will be
traveling just before impact.
velocity (m/s)
time (s)
4. A bus initially moving at 20 m/s slows by 4 m/s each second.
a. Make a well-labeled diagram of the situation.
b. Make a well-labeled graphical representation of the situation.
c. List given quantities and quantities to find as you determine:
i. How much time does it take the bus to stop?
ii. How far does it travel while braking?
velocity (m/s)
time (s)
©Modeling Instruction - AMTA 2013 2 U3 Uniform Acceleration - ws 5v3.0
5. A car whose initial speed is 30 m/s slows uniformly to 10 m/s in 5 seconds.
a. Make a well-labeled diagram of the situation.
b. Make a well-labeled graphical representation of the situation.
c. List given quantities and quantities to find.
i. Determine the acceleration of the car.
ii. Determine the distance the car travels in the 3rd second (from t = 2s to t = 3s).
velocity (m/s)
time (s)
6. A dog runs down his driveway with an initial speed of 5 m/s for 8 s, then uniformly increases
his speed to 10 m/s in 5 s.
a. Make a well-labeled diagram of the situation.
b. Make a well-labeled graphical representation of the situation.
c. List given quantities and quantities to find as you determine:
i. What was the dog’s acceleration during the 2nd part of the motion?
ii. How long is the driveway?
velocity (m/s)
time (s)
©Modeling Instruction - AMTA 2013 3 U3 Uniform Acceleration - ws 5v3.0
7. A physics student skis down a slope, with a constant acceleration of 2.0 m/s2 for 15 seconds.
a. Make a well-labeled diagram of the situation.
b. Make a well-labeled graphical representation of the situation.
c. List given quantities and quantities to find as you determine the length of the slope.
velocity (m/s)
time (s)
8. A mountain goat starts a rock slide and the rocks crash down the slope 100 m in five seconds.
a. Make a well-labeled diagram of the situation.
b. Make a well-labeled graphical representation of the situation.
c. List given quantities and quantities to find as you determine the acceleration of the rocks.
velocity (m/s)
time (s)
©Modeling Instruction - AMTA 2013 4 U3 Uniform Acceleration - ws 5v3.0
